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85 more than a square of a number is the same as the sum of the square of the quantity that is 17 less than the number. What is the number?

 Sep 22, 2018
 #1
avatar+111325 
+1

Let N be  the number

 

85 + N^2  = ( N - 17)^2  simplify

 

85 + N^2  = N^2  - 34N + 289    subtract N^2 from both sides

 

85    =  -34N + 289    subtract 289 from  both sides

 

85 - 289  = -34N

 

-204  =  -34N    divide both sides by  -34

 

6  = N

 

 

cool cool cool

 Sep 22, 2018
edited by CPhill  Sep 22, 2018
 #2
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Amione, you already answered that question yourself, why are you asking that question again?

 

 

Cphill's solution is wrong, because he got from 

 

85+N2=N2-34*N+289 to

 

85= 34*N+289

 

 

the answer is N=6, not N=-6

 Sep 22, 2018
 #3
avatar+111325 
0

Slight sign error...now corrected...!!!

 

cool cool cool

CPhill  Sep 22, 2018

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